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Finding the Third Proportional to 173,589 and 380,415

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Solution

The third proportional to 173,589 and 380,415 is: 833,667.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,589 : 380,415 = 380,415 : x
  2. Step 2: Convert to fraction form
    173,589/380,415 = 380,415/x
  3. Step 3: Cross multiply
    173,589x = 380,415 × 380,415
  4. Step 4: Simplify right side
    173,589x = 144,715,572,225
  5. Step 5: Solve for x
    x = 144,715,572,225/173,589
  6. Step 6: Final answer
    x = 833,667.87

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.